ISJ Theoretical & Applied Science 03(143) 2025

Philadelphia, USA

Khudjaev, M., Pirnazarov, G., Matkarimov, A., Temirovm J., & Ibrohimov, Sh.

Maximum Fall Distance and Velocity of a Rock Block under Exogenous Processes in a Railway.

Full Article: PDF

Scientific Object Identifier: http://s-o-i.org/1.1/TAS-03-143-3

DOI: https://dx.doi.org/10.15863/TAS.2025.03.143.3

Language: English

Citation: Khudjaev, M., Pirnazarov, G., Matkarimov, A., Temirovm J., & Ibrohimov, Sh. (2025). Maximum Fall Distance and Velocity of a Rock Block under Exogenous Processes in a Railway. ISJ Theoretical & Applied Science, 03 (143), 28-32. Soi: https://s-o-i.org/1.1/TAS-03-143-3 Doi: https://dx.doi.org/10.15863/TAS.2025.03.143.3

Pages: 28-32

Published: 30.03.2025

Abstract: This article explores the dynamics of a stone block falling onto a railway track due to exogenous factors. In the article, the movement of a falling stone is studied using classical mechanics methods. A mathematical expression for the maximum distance of stone falling is determined from the equation of the law of stone motion. An equation that describes the change in mechanical energy during the rolling of a homogeneous stone is derived. From this equation, an analytical expression for the velocity of a rock block depending on its position is obtained. The problems are solved using the principles of theoretical mechanics. Calculations are conducted and the results are presented for the analytical expression obtained for the velocity of a rock block.

Key words: stonefall, railway, stone fall distance, stone velocity, potential energy, kinetic energy.